813218832 has 160 divisors (see below), whose sum is σ = 2398239360. Its totient is φ = 263761920.

The previous prime is 813218831. The next prime is 813218837. The reversal of 813218832 is 238812318.

It is a super-2 number, since 2×813218832² = 1322649737438888448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (813218831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3374232 + ... + 3374472.

It is an arithmetic number, because the mean of its divisors is an integer number (14988996).

Almost surely, 2^813218832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813218832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199119680).

813218832 is an abundant number, since it is smaller than the sum of its proper divisors (1585020528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813218832 is a wasteful number, since it uses less digits than its factorization.

813218832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 813218832 is about 28516.9919872346. The cubic root of 813218832 is about 933.4028925482.

The spelling of 813218832 in words is "eight hundred thirteen million, two hundred eighteen thousand, eight hundred thirty-two".